(yesterday I learned) about this weird fact:

if you start with

1

and at every step count the max number of repeated blocks at the end and append that number, like this:

1 1 2 1 1 2 2 2 3 1 1 2 ...

there's a proof that a 5 will appear at some point in the sequence.

but only after some 10^(10^23) steps. 🤯

en.wikipedia.org/wiki/Gijswijt

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